Re: Remote
If you can't get in through the front door, try the back door.
I used to work in a place with similar levels of security. The sort of place where you had to swipe in and out (no exceptions) and leave your mobile phone in a locker at reception.
There was also a side door by the smoking area (at the edge of the car park) which was usually being held open by someone going in or coming out. It was trivially easy to walk in without a card.
You would, of course, have been challenged if you weren't wearing a lanyard. You know, the sort of lanyard which you can order by the thousand from online retailers, with the word "STAFF" written on it.
This sort of security is what Bruce Schneier refers to as "security theatre"; all it accomplishes is the illusion of security.
Similarly, I bet that if someone turned up to the front desk of the place you worked, wearing workmen's clothes, with a hard hat, hi-vis and carrying a tool bag, and then made up some story about being from the building management company to inspect the roof, or some such, they'd be escorted right past the card-check, once they had signed in with a totally genuine name. That's a much easier way to break the security model than trying to attack the hardest point (looking like an authorised employee with a card and lanyard, and also looking like someone who works there without being questioned about who you are, because the receptionist has never seen you before).